GCD of 632, 356, 276, 749 Calculator

Given Input numbers are 632, 356, 276, 749

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 632, 356, 276, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 356, 276, 749 is 1.

Therefore, GCD of numbers 632, 356, 276, 749 is 1

Given Input Data is 632, 356, 276, 749

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 749 is 7 x 107

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(632, 356) = 56248

GCD(632, 356) = ( 632 x 356 ) / 56248

GCD(632, 356) = 224992 / 56248

GCD(632, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 276

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

GCD(4, 276) = 1104 / 276

GCD(4, 276) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 749

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 749) = 2996

GCD(4, 749) = ( 4 x 749 ) / 2996

GCD(4, 749) = 2996 / 2996

GCD(4, 749) = 1

GCD of 632, 356, 276, 749 is 1

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1. What is the GCD of 632, 356, 276, 749?

GCD of 632, 356, 276, 749 is 1

2. Where do I get the detailed procedure to find GCD of 632, 356, 276, 749?

You can find a detailed procedure to find GCD of 632, 356, 276, 749 on our page.

3. How to find GCD of 632, 356, 276, 749 on a calculator?

You can find the GCD of 632, 356, 276, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.